- #1
Siune
- 24
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Homework Statement
Hello! The problem is about spring with block attached to it. ( with spring constant = k) The system is on surface that has a friction μ increasing towards the direction of the blocks movement.
Block is pushed -0,1m ( to the left ) from the equilubrium position and then released. The block moves from the starting position, +0,3m to the right ( +0,2m from the equilubrium position) and stops. What is the spring constant k?
Homework Equations
Spring constant = k
Friction μ = 0,025 * x, increasing towards to the right.
Mass of the block = 2,7 kg
The Attempt at a Solution
The most problematic part for me is the friction not being constant.
I assume;
From -0,1 m to 0,0 m the Force due to the spring and Force due to the friction are in different directions.
From 0,0 m to 0,2 m the Force due to the spring and Force due to the friction are in same direction.
I'm not sure, but as the accelereation ain't constant ( due to the both forces depending on some variable) should I be using some definite integrals?
Or should I use some energy-theorem involving kinetic-energy and potential-energy?
Sincerely yours,
Siune
P.S I can draw a picture about the situation and scan it here, if the explanation ain't good enough. English isn't my native language. :)